PHPUnit itself has a selenium extension. It's not quite laravelish, and is not backed by a modern WebDriver interface.
CodeCeption is a very powerful, yet easy-to-use testing tool for PHP. Not only does it provide a unit-testing API, it also provides its own selenium acceptance testing API.
It also has perfect Laravel integration and a great chrome extension for generating acceptance test in browser. Here's an example code from the docs:
<?php
$I->amOnPage('/login');
$I->fillField('username', 'davert');
$I->fillField('password', 'qwerty');
$I->click('LOGIN');
$I->see('Welcome to codeception!');
Here's a step-by-step guide to getting started with acceptance testing using CodeCeption:
http://codeception.com/11-20-2013/webdriver-tests-with-codeception.html
Here are some other options:
https://github.com/lmc-eu/steward
https://github.com/Modelizer/Selenium
https://github.com/jhoopes/laravel-selenium-driver
Update: Good news.
Update: See Mink's PHPUnit integration.